Solve (4x^2 3x)-(4x^2 2)

Question

Simplify the expression

12 x^{3} - 8 x^{2}

Evaluate

(4 x^{2} \times 3 x) - (4 x^{2} \times 2)

Multiply

More Steps

Multiply the terms

4 x^{2} \times 3 x

Multiply the terms

12 x^{2} \times x

Multiply the terms with the same base by adding their exponents

12 x^{2 + 1}

Add the numbers

12 x^{3}

12 x^{3} - (4 x^{2} \times 2)

Solution

12 x^{3} - 8 x^{2}

Show Solution

4 x^{2} (3 x - 2)

Evaluate

(4 x^{2} \times 3 x) - (4 x^{2} \times 2)

Multiply

More Steps

Multiply the terms

4 x^{2} \times 3 x

Multiply the terms

12 x^{2} \times x

Multiply the terms with the same base by adding their exponents

12 x^{2 + 1}

Add the numbers

12 x^{3}

12 x^{3} - (4 x^{2} \times 2)

Multiply the terms

12 x^{3} - 8 x^{2}

Rewrite the expression

4 x^{2} \times 3 x - 4 x^{2} \times 2

Solution

4 x^{2} (3 x - 2)

Show Solution

x_{1} = 0, x_{2} = \frac{2}{3}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{6}

Evaluate

(4 x^{2} \times 3 x) - (4 x^{2} \times 2)

To find the roots of the expression,set the expression equal to 0

(4 x^{2} \times 3 x) - (4 x^{2} \times 2) = 0

Multiply

More Steps

Multiply the terms

4 x^{2} \times 3 x

Multiply the terms

12 x^{2} \times x

Multiply the terms with the same base by adding their exponents

12 x^{2 + 1}

Add the numbers

12 x^{3}

12 x^{3} - (4 x^{2} \times 2) = 0

Multiply the terms

12 x^{3} - 8 x^{2} = 0

Factor the expression

4 x^{2} (3 x - 2) = 0

Divide both sides

x^{2} (3 x - 2) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 x - 2 = 0

The only way a power can be 0 is when the base equals 0

x = 0 3 x - 2 = 0

Solve the equation

More Steps

Evaluate

3 x - 2 = 0

Move the constant to the right-hand side and change its sign

3 x = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

3 x = 2

Divide both sides

\frac{3 x}{3} = \frac{2}{3}

Divide the numbers

x = \frac{2}{3}

x = 0 x = \frac{2}{3}

Solution

x_{1} = 0, x_{2} = \frac{2}{3}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{6}

Show Solution